The mass of a box of chocolates is 290g.The box contain 7 identical chocolate.Manish eat 3 chocolates the mass of the box is now 194g. Find the weight of the empty box.
3 chocolates weigh 290-194 = 96 g
so, each weighs 32 g
Now just subtract the weight of 7 of them, from 290 g
How much does a empty chocolate box weight
To find the weight of the empty box, we need to subtract the weight of the chocolates that Manish ate from the total weight of the box.
Step 1: Determine the weight of the 3 chocolates Manish ate.
Since the box initially contained 7 identical chocolates and the total mass decreased by 290g - 194g = 96g, we can find the weight of 1 chocolate by dividing the decrease in mass by the number of chocolates Manish ate.
Weight of 1 chocolate = 96g / 3 = 32g
Step 2: Calculate the weight of the empty box.
We can find the weight of the empty box by subtracting the weight of one chocolate from the total weight of the box.
Weight of empty box = Total weight of the box - Weight of 1 chocolate = 290g - 32g = 258g
So, the weight of the empty box is 258g.
To find the weight of the empty box, we need to subtract the combined weight of the chocolates that Manish has eaten from the original weight of the box.
Let's break down the information given:
- The original mass of the box of chocolates is 290g.
- The box contains 7 identical chocolates.
- Manish eats 3 chocolates.
- The new mass of the box after Manish eats the chocolates is 194g.
First, let's calculate the combined weight of the 7 identical chocolates. We know that the difference between the original mass of the box and the new mass of the box is the weight of the chocolates Manish has eaten. So, we can subtract the new mass from the original mass to find the total weight of the chocolates.
Original mass of the box = 290g
New mass of the box = 194g
Combined weight of the chocolates = Original mass of the box - New mass of the box
= 290g - 194g
= 96g
Since there are 7 identical chocolates, we can divide the combined weight by the number of chocolates to find the weight of a single chocolate.
Weight of a single chocolate = Combined weight of the chocolates / Number of chocolates
= 96g / 7
= 13.71g (approximately)
Now that we know the weight of a single chocolate, we can subtract the combined weight of the chocolates from the original weight of the box to find the weight of the empty box.
Weight of empty box = Original mass of the box - Combined weight of the chocolates
= 290g - 96g
= 194g
Therefore, the weight of the empty box is 194g.